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3 years ago

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).

Mathematics

1 answer:

MrRissso [65]3 years ago

6 0

Answer:

If b is 3, x=-1

Step-by-step explanation:

-2(3x-5)=16

use distributive property

-6x+10=16

take 10 away from both sides

-6x=6

divide both sides by -6

x=-1

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In 2013 the most expensive cocktail (made with 1858 ‘Cuvee Leonie’ cognac) was sold in Australia for $12,000. What would have be

Mkey [24]

Answer:

$14,000

Step-by-step explanation:

8 0

3 years ago

Please help me. The original blueprint of the Moreno’s’ living room has a scale of 2 inches= 5 feet. The family wants to use a n

Svetradugi [14.3K]

Answer:

Part a) The scale of the new blueprint is $\frac{5}{8} \frac{in}{ft}$

Part b) The width of the living room in the new blueprint is $9.4\ in$

Step-by-step explanation:

we know that

The scale of the original blueprint is

$\frac{2}{5}\frac{in}{ft}$

and

the width of the living room on the original blueprint is 6 inches

Find the actual width of the living room, using proportion

$\frac{2}{5}\frac{in}{ft}=\frac{6}{x}\frac{in}{ft}\\ \\x=5*6/2\\ \\x=15\ ft$

Find the actual length of the living room, using proportion

$\frac{2}{5}\frac{in}{ft}=\frac{9.6}{x}\frac{in}{ft}\\ \\x=5*9.6/2\\ \\x=24\ ft$

Find the scale of the new blueprint, divide the length of the living room on the new blueprint by the actual length of the living room

$\frac{15}{24} \frac{in}{ft}$

simplify

$\frac{5}{8} \frac{in}{ft}$

Find the width of the living room in the new blueprint, using proportion

$\frac{5}{8}\frac{in}{ft}=\frac{x}{15}\frac{in}{ft}\\ \\x=15*5/8\\ \\x=9.4\ in$

3 0

3 years ago

A line passes through the points (-1, -6) and (-4, 3). What is the equation of this line in slope-intercept form?

g100num [7]

Since we have two ordered pairs, we can find the slope by plugging them into (y2-y1)/(x2-x1) which translates to (3-(-6))/(-4-(-1))=9/-3=-3

Since the slope is -3, we have the equation y=-3x+b, but we don't know b. So we plug in values for x and y and solve for b.

-6=-3(-1)+b

-6=3+b

-9=b

So the y-intercept is -9 and the full equation is y=-3x-9 which means A is the only correct answer.

Hope this helped!

4 0

3 years ago

Solve for n 25/n = 5/8

Sveta_85 [38]

Answer:

n=40

Step-by-step explanation:

25/n=5/8

25/5=5

n/5=8

n=40

3 0

3 years ago

Read 2 more answers

the expression -300 + 14y represents a submarine that began at a depth of 300 feet below sea level and ascended at a rate of 14

spayn [35]

Answer:

174 feet below sea level

Step-by-step explanation:

y is the number of minutes so you can multiply 14 by 9

14*9 is 126

then you add 126 to -300

126 + (-300) is essentially 126 - 300 and that is -174

the submarine was at 174 feet below sea level

3 0

2 years ago